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DEGENERATE BERNOULLI POLYNOMIALS ASSOCIATED WITH p-ADIC INVARIANT INTEGRAL ON Zp

T. Kim
장전수학회 (Jangjeon Mathematical Society)|2015.07|Advanced Studies in Contemporary Mathematics|제25권 제3호|pp. 273-279

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참고문헌

키워드

Euler polynomialBernoulli polynomialAbel polynomial
주제분류수학

초록

In this paper, we consider the degenerate Bernoulli polynomials which are derived from p-adic invariant integral on Zp and investigate some properties of those polynomials.

Abstract

In this paper, we consider the degenerate Bernoulli polynomials which are derived from p-adic invariant integral on Zp and investigate some properties of those polynomials.

참고문헌 (13)

  1. S. Araci, "On the extended Kim’s p-adic q-deformed fermionic integrals in the p-adic integer ring", J. Number Theory, 133, pp.3348~3361 (2013)
  2. A. Bayad, "Identities involving values of Bernstein, q-Bernoulli, and q-Euler polynomials", Russ. J. Math. Phys., 18(2), pp.133~143 (2011)
  3. Bayad, "IDENTITIES FOR THE BERNOULLI, THE EULER AND THE GENOCCHI NUMBERS AND POLYNOMIALS", Advanced Studies in Contemporary Mathematics, 20(2), pp.247~253 (2010), 장전수학회
  4. L. Carlitz, "Degenerate Stirling, Bernoulli and Eulerian numbers", Utilitas Math., 15, pp.51~88 (1979)
  5. Dan Ding, "Some identities related to the Apostol-Euler and Apostol-Bernoulli polynomials", Advanced Studies in Contemporary Mathematics, 20(1), pp.7~21 (2010), 장전수학회
  6. S. Gaboury, "Some explicit formulas for certain new classes of Bernoulli, Euler and Genocchi polynomials", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 17(1), pp.115~123 (2014), 장전수학회
  7. D. S. Kim, "A note on degenerate Bernoulli numbers and polynomials associated with p-adic invariant integral on Zp", Appl. Math. Comput., 259, pp.198~204 (2015)
  8. D. S. Kim, "Daehee Polynomials with q-parameter", Adv. Studies Theor. Phys., 8(13), pp.561~569 (2014)
  9. T. Kim, "Symmetry p-adic invariant integral on Zp for Bernoulli and Euler polynomials", J. Difference Equ. Appl., 14(12), pp.1267~1277 (2008)
  10. T. Kim, "Multiple p-adic L-function", Russ. J. Math. Phys., 13(2), pp.151~157 (2006)
  11. S. Roman, "The umbral calculus" (1984), Academic Press, Inc
  12. K. Shiratani, "An application of p-adic convolutions", Mem. Fac. Sci. Kyushu Univ. Ser. A, 36(1), pp.73~83 (1982)
  13. L. C.Washington, "Introduction to cyclotomic fields" (1997), Springer-Verlag

관련 논문AI추천

q-Bernoulli numbers and polynomials related to p-adic invariant integral on z_pAND T. KIM, D. V. Dolgy, J.-J. SEO, S. H. LEE, S. H. Rim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2013 · 제16권 제3호SYMMETRIC IDENTITIES OF DEGENERATE BERNOULLI POLYNOMIALS김태균장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호ON THE IDENTITIES OF SYMMETRY FOR DEGENERATE BERNOULLI POLYNOMIALS OF ORDER r김태균, D. V. Dolgy장전수학회 · Advanced Studies in Contemporary Mathematics2015 · 제25권 제4호HIGHER-ORDER DEGENERATE q-BERNOULLI POLYNOMIALS김태균, 장관우장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2017 · 제20권 제1호On degenerate $q$-Bernoulli polynomials김태균대한수학회 · 대한수학회보2016 · 제53권 제4호IDENTITIES OF SYMMETRY FOR DEGENERATE q-BERNOULLI POLYNOMIALSH-I Kwon, J. J. Seo, T. Kim장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호

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